Finding the Fourth Proportional to 9,184.46, 12,674.69 and 5,205.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.46 : 12,674.69 = 5,205.48 : x
2. Step 2: Convert to fraction form
   9,184.46/12,674.69 = 5,205.48/x
3. Step 3: Cross multiply
   9,184.46x = 12,674.69 × 5,205.48
4. Step 4: Simplify right side
   9,184.46x = 65,977,891.84
5. Step 5: Solve for x
   x = 65,977,891.84/9,184.46
6. Step 6: Final answer
   x = 7,183.65